Answer:
$563.24
Step-by-step explanation:
The monthly payment on a mortgage loan is found using the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where A is the monthly payment on a loan of P at interest rate r for t years.
Filling in the given values, we find the payment to be ...
A = $70,000×(0.09/12)/(1 -(1 +0.09/12)^(-12·30)) ≈ $563.236
The monthly payment is about $563.24.
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<em>Additional comment</em>
Many graphing calculators and all spreadsheets have functions that will do this calculation for you.
First add all the items together:
6 + 4 + 7 + 4 = 21
then we compare 6 and 21 and look for common factors, 6 and 21 have the common factor 3 so we divide them both by 3 to get 2 and 7. since 2 and 7 have no common factors our answer is
2:7
This means for every 2 cans of fruit there are 7 total items and vice versa.
First, "boxes of two sizes" means we can assign variables: Let x = number of large boxes y = number of small boxes "There are 115 boxes in all" means x + y = 115 [eq1] Now, the pounds for each kind of box is: (pounds per box)*(number of boxes) So, pounds for large boxes + pounds for small boxes = 4125 pounds "the truck is carrying a total of 4125 pounds in boxes" (50)*(x) + (25)*(y) = 4125 [eq2] It is important to find two equations so we can solve for two variables. Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2. Let's solve for x: x = 115 - y [from eq1] 50(115-y) + 25y = 4125 [from eq2] 5750 - 50y + 25y = 4125 [distribute] 5750 - 25y = 4125 -25y = -1625 y = 65 [divide both sides by (-25)] There are 65 small boxes. Put that value into either equation (now, which is easier?) to solve for x: x = 115 - y x = 115 - 65 x = 50 There are 50 large boxes.
Answer:
-1
Step-by-step explanation:
equation:
3(5-4)-4(5-4)
3*5-3*4 -4*5-4*-4
15-12-20+16
3-4
-1
Answer:
The answer to your question is: ∠K = 138°
Step-by-step explanation:
m∠N = 42°
m∠K = ?
The sum of all the internal angles in a quadrangle equals 360°
then
∠N + ∠L + ∠M + ∠K = 360°
∠N = ∠ L and ∠M = ∠K
So, 2 ∠N + 2 ∠K = 360
Substitution
2 (42) + 2 ∠K = 360
84 + 2 ∠K = 360
2 ∠K = 360 - 84
2 ∠K = 276
∠K = 276 / 2
∠K = 138°
